Mathematics: Linear algebra, matrix theory, vector analysis, complex variable analysis, ordinary differential equations, numerical analysis, probability theory, mathematical statistics, operations research, game theory, control theory, combinatorial mathematics, data analysis, statistics, geometry, parameter calculation, mathematical modeling, non-linear analysis, algebraic topology, mutation theory, functional analysis, differential geometry, set theory, mathematical logic, algebraic number theory, analytic number theory, function theory, discrete mathematics, symmetry and integrable systems, complex variable functions, real variable functions, special functions and orthogonal polynomials, applications of computer mathematics, mathematical theory of artificial intelligence, applied mathematics, etc.
Intelligent computing: genetic algorithm, simulated annealing algorithm, taboo search algorithm, evolutionary algorithm, heuristic algorithm, ant colony algorithm, artificial fish swarm algorithm, particle swarm algorithm, hybrid intelligence algorithm, immune algorithm, rough set theory, artificial intelligence, artificial neural network, machine learning, biological computing, DNA computing, quantum computing, intelligent computing and optimization, fuzzy logic, pattern recognition, knowledge discovery, data mining, economic prediction, financial analysis, information security, medical diagnosis, intelligent computing applications, and other related topics.